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Finding the Third Proportional to 306,626,362 and 668,748,894

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Solution

The third proportional to 306,626,362 and 668,748,894 is: 1,458,534,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,626,362 : 668,748,894 = 668,748,894 : x
  2. Step 2: Convert to fraction form
    306,626,362/668,748,894 = 668,748,894/x
  3. Step 3: Cross multiply
    306,626,362x = 668,748,894 × 668,748,894
  4. Step 4: Simplify right side
    306,626,362x = 447,225,083,226,223,232
  5. Step 5: Solve for x
    x = 447,225,083,226,223,232/306,626,362
  6. Step 6: Final answer
    x = 1,458,534,355.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.